Question

Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of 30 on a unit of lumber and 45 on a unit of plywood. How many of each unit must be produced and sold to make a profit of $16665?

Answer 1

Snookers Lumber can convert logs into either lumber or plywood.
In a given day,the mill turns out three times as many units of plywood as lumber.
It makes a profit of $30 on a Unit of lumber and $45 on a unit of plywood.
How many of each unit must be produced and sold in order to make a profit of 16665.?:
Let L = no. of units of lumber
Let P = no. of units of plywood
:
"In a given day,the mill turns out three times as many units of plywood as lumber."
P = 3L
:
"It makes a profit of $30 on a Unit of lumber and $45 on a unit of plywood.
How many of each unit must be produced and sold in order to make a profit of 16665.?"
30L + 45P = 16665
Replace P with 3L
30L + 45(3L) = 16665
30L + 135L = 16665
165L = 16665
L =
L = 101 units of lumber
then
3(101) = 303 units of plywood